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Finding the Fourth Proportional to 5,976.99, 8,964.68 and 1,594.69

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Solution

The fourth proportional to 5,976.99, 8,964.68 and 1,594.69 is: 2,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.99 : 8,964.68 = 1,594.69 : x
  2. Step 2: Convert to fraction form
    5,976.99/8,964.68 = 1,594.69/x
  3. Step 3: Cross multiply
    5,976.99x = 8,964.68 × 1,594.69
  4. Step 4: Simplify right side
    5,976.99x = 14,295,855.16
  5. Step 5: Solve for x
    x = 14,295,855.16/5,976.99
  6. Step 6: Final answer
    x = 2,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.